208319013 has 32 divisors (see below), whose sum is σ = 357995520. Its totient is φ = 117255600.

The previous prime is 208318997. The next prime is 208319051. The reversal of 208319013 is 310913802.

It is not a de Polignac number, because 208319013 - 2⁴ = 208318997 is a prime.

It is a super-2 number, since 2×208319013² = 86793622354588338, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208319113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4438 + ... + 20888.

It is an arithmetic number, because the mean of its divisors is an integer number (11187360).

Almost surely, 2^208319013 is an apocalyptic number.

It is an amenable number.

208319013 is a deficient number, since it is larger than the sum of its proper divisors (149676507).

208319013 is a wasteful number, since it uses less digits than its factorization.

208319013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16534 (or 16528 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 208319013 is about 14433.2606503174. The cubic root of 208319013 is about 592.8019675310.

The spelling of 208319013 in words is "two hundred eight million, three hundred nineteen thousand, thirteen".